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Find the prime factorization of number 2880.

Answer

The prime factorization of 2880 is:

$$ 2880 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5 $$

Which is the same as :

$$ 2880 = 2^{6}\cdot3^{2}\cdot5 $$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

2880 can be written as 10 × 288.
  • 2880
    • 10
    • 288
10 can be written as 2 × 5.
  • 2880
    • 10
      • 5
      • 2
    • 288
288 can be written as 2 × 144.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
144 can be written as 2 × 72.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
        • 72
        • 2
72 can be written as 2 × 36.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
        • 72
          • 2
          • 36
        • 2
36 can be written as 2 × 18.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
        • 72
          • 2
          • 36
            • 18
            • 2
        • 2
18 can be written as 2 × 9.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
        • 72
          • 2
          • 36
            • 18
              • 2
              • 9
            • 2
        • 2
9 can be written as 3 × 3.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
        • 72
          • 2
          • 36
            • 18
              • 2
              • 9
                • 3
                • 3
            • 2
        • 2
The end nodes are the prime factors of the number 2880.
  • 2880
    • 10
      • 5
      • 2
    • 288
      • 2
      • 144
        • 72
          • 2
          • 36
            • 18
              • 2
              • 9
                • 3
                • 3
            • 2
        • 2
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Prime factorization calculator